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Finding the Fourth Proportional to 803,609.76, 1,205,808 and 323,817.60

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Solution

The fourth proportional to 803,609.76, 1,205,808 and 323,817.60 is: 485,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,609.76 : 1,205,808 = 323,817.60 : x
  2. Step 2: Convert to fraction form
    803,609.76/1,205,808 = 323,817.60/x
  3. Step 3: Cross multiply
    803,609.76x = 1,205,808 × 323,817.60
  4. Step 4: Simplify right side
    803,609.76x = 390,461,852,620.80
  5. Step 5: Solve for x
    x = 390,461,852,620.80/803,609.76
  6. Step 6: Final answer
    x = 485,884.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.